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"-1/4", "-1/4" ], "expected": [ "-1/4", "-1/4", "-1/4", "-1/4" ], "name": "a2/b0/i6/held phase identity/-1/4", "pass": true }, { "actual": true, "expected": true, "name": "a2/b0/i6/held quarter phase/-1/4", "pass": true }, { "actual": [ "1/4", "1/4", "1/4", "1/4" ], "expected": [ "1/4", "1/4", "1/4", "1/4" ], "name": "a2/b0/i6/held phase identity/1/4", "pass": true }, { "actual": true, "expected": true, "name": "a2/b0/i6/held quarter phase/1/4", "pass": true }, { "actual": 1, "expected": 1, "name": "a2/b0/i7/one actual SP Noah", "pass": true }, { "actual": 1, "expected": 1, "name": "a2/b0/i7/one same-rail death", "pass": true }, { "actual": 1, "expected": 1, "name": "a2/b0/i7/one actual same-Gear MT Noah", "pass": true }, { "actual": false, "expected": false, "name": "a2/b0/i7/S membership preserved", "pass": true }, { "actual": true, "expected": true, "name": "a2/b0/i7/R membership preserved", "pass": true }, { "actual": false, "expected": false, "name": "a2/b0/i7/joint membership preserved", "pass": true }, { "actual": true, "expected": true, "name": "a2/b0/i7/at most one typed S and R record", "pass": true }, { "actual": "950", "expected": "950", "name": "a2/b0/i7/sourceNoah950", "pass": true }, { "actual": "110", "expected": "110", "name": "a2/b0/i7/death remainder formula", "pass": true }, { "actual": "490", "expected": "490", "name": "a2/b0/i7/actual MT birth residual", "pass": true }, { "actual": "460", "expected": "460", "name": "a2/b0/i7/actual context leg", "pass": true }, { "actual": [ "1058", "1060" ], "expected": [ "1058", "1060" ], "name": "a2/b0/i7/held two short spans", "pass": true }, { "actual": [ [ "8991", "10051" ], [ "7933", "8993" ] ], "expected": [ [ "8991", "10051" ], [ "7933", "8993" ] ], "name": "a2/b0/i7/held width matrix", "pass": true }, { "actual": false, "expected": false, "name": "a2/b0/i7/two17K control", "pass": true }, { "actual": false, "expected": false, "name": "a2/b0/i7/allK control", "pass": true }, { "actual": false, "expected": false, "name": "a2/b0/i7/108 equivalent to b2", "pass": true }, { "actual": true, "expected": true, "name": "a2/b0/i7/490 equivalent to primary rail", "pass": true }, { "actual": [ "-1/4", "-1/4", "-1/4", "-1/4" ], "expected": [ "-1/4", "-1/4", "-1/4", "-1/4" ], "name": "a2/b0/i7/held phase identity/-1/4", "pass": true }, { "actual": true, "expected": true, "name": "a2/b0/i7/held quarter phase/-1/4", "pass": true }, { "actual": [ "1/4", "1/4", "1/4", "1/4" ], "expected": [ "1/4", "1/4", "1/4", "1/4" ], "name": "a2/b0/i7/held phase identity/1/4", "pass": true }, { "actual": true, "expected": true, "name": "a2/b0/i7/held quarter phase/1/4", "pass": true }, { "actual": 1, "expected": 1, "name": "a2/b2/i3/one actual SP Noah", "pass": true }, { "actual": 1, "expected": 1, "name": "a2/b2/i3/one same-rail death", "pass": true }, { "actual": 1, "expected": 1, "name": "a2/b2/i3/one actual same-Gear MT Noah", "pass": true }, { "actual": true, "expected": true, "name": "a2/b2/i3/S membership preserved", "pass": true }, { "actual": true, "expected": true, "name": "a2/b2/i3/R membership preserved", "pass": true }, { "actual": true, "expected": true, "name": "a2/b2/i3/joint membership preserved", "pass": true }, { "actual": true, "expected": true, "name": "a2/b2/i3/at most one typed S and R record", "pass": true }, { "actual": "950", "expected": "950", "name": "a2/b2/i3/sourceNoah950", "pass": true }, { "actual": "108", "expected": "108", "name": "a2/b2/i3/death remainder formula", "pass": true }, { "actual": "490", "expected": "490", "name": "a2/b2/i3/actual MT birth residual", "pass": true }, { "actual": "460", "expected": "460", "name": "a2/b2/i3/actual context leg", "pass": true }, { "actual": [ "1058", "1058" ], "expected": [ "1058", "1058" ], "name": "a2/b2/i3/held two short spans", "pass": true }, { "actual": [ [ "8993", "10051" ], [ "7935", "8993" ] ], "expected": [ [ "8993", "10051" ], [ "7935", "8993" ] ], "name": "a2/b2/i3/held width matrix", "pass": true }, { "actual": true, "expected": true, "name": "a2/b2/i3/two17K control", "pass": true }, { "actual": true, "expected": true, "name": "a2/b2/i3/allK control", "pass": true }, { "actual": true, "expected": true, "name": "a2/b2/i3/108 equivalent to b2", "pass": true }, { "actual": true, "expected": true, "name": "a2/b2/i3/490 equivalent to primary rail", "pass": true }, { "actual": [ "-1/4", "-1/4", "-1/4", "-1/4" ], "expected": [ "-1/4", "-1/4", "-1/4", "-1/4" ], "name": "a2/b2/i3/held phase identity/-1/4", "pass": true }, { "actual": true, "expected": true, "name": "a2/b2/i3/held quarter phase/-1/4", "pass": true }, { "actual": [ "1/4", "1/4", "1/4", "1/4" ], "expected": [ "1/4", "1/4", "1/4", "1/4" ], "name": "a2/b2/i3/held phase identity/1/4", "pass": true }, { "actual": true, "expected": true, "name": "a2/b2/i3/held quarter phase/1/4", "pass": true }, { "actual": 1, "expected": 1, "name": "a2/b2/i4/one actual SP Noah", "pass": true }, { "actual": 1, "expected": 1, "name": "a2/b2/i4/one same-rail death", "pass": true }, { "actual": 1, "expected": 1, "name": "a2/b2/i4/one actual same-Gear MT Noah", "pass": true }, { "actual": true, "expected": true, "name": "a2/b2/i4/S membership preserved", "pass": true }, { "actual": true, "expected": true, "name": "a2/b2/i4/R membership preserved", "pass": true }, { "actual": true, "expected": true, "name": "a2/b2/i4/joint membership preserved", "pass": true }, { "actual": true, "expected": true, "name": "a2/b2/i4/at most one typed S and R record", "pass": true }, { "actual": "950", "expected": "950", "name": "a2/b2/i4/sourceNoah950", "pass": true }, { "actual": "108", "expected": "108", "name": "a2/b2/i4/death remainder formula", "pass": true }, { "actual": "491", "expected": "491", "name": "a2/b2/i4/actual MT birth residual", "pass": true }, { "actual": "459", "expected": "459", "name": "a2/b2/i4/actual context leg", "pass": true }, { "actual": [ "1058", "1058" ], "expected": [ "1058", "1058" ], "name": "a2/b2/i4/held two short spans", "pass": true }, { "actual": [ [ "8993", "10051" ], [ "7935", "8993" ] ], "expected": [ [ "8993", "10051" ], [ "7935", "8993" ] ], "name": "a2/b2/i4/held width matrix", "pass": true }, { "actual": true, "expected": true, "name": "a2/b2/i4/two17K control", "pass": true }, { "actual": true, "expected": true, "name": "a2/b2/i4/allK control", "pass": true }, { "actual": true, "expected": true, "name": "a2/b2/i4/108 equivalent to b2", "pass": true }, { "actual": false, "expected": false, "name": "a2/b2/i4/490 equivalent to primary rail", "pass": true }, { "actual": [ "-1/4", "-1/4", "-1/4", "-1/4" ], "expected": [ "-1/4", "-1/4", "-1/4", "-1/4" ], "name": "a2/b2/i4/held phase identity/-1/4", "pass": true }, { "actual": true, "expected": true, "name": "a2/b2/i4/held quarter phase/-1/4", "pass": true }, { "actual": [ "1/4", "1/4", "1/4", "1/4" ], "expected": [ "1/4", "1/4", "1/4", "1/4" ], "name": "a2/b2/i4/held phase identity/1/4", "pass": true }, { "actual": true, "expected": true, "name": "a2/b2/i4/held quarter phase/1/4", "pass": true }, { "actual": 1, "expected": 1, "name": "a2/b2/i5/one actual SP Noah", "pass": true }, { "actual": 1, "expected": 1, "name": "a2/b2/i5/one same-rail death", "pass": true }, { "actual": 1, "expected": 1, "name": "a2/b2/i5/one actual same-Gear MT Noah", "pass": true }, { "actual": true, "expected": true, "name": "a2/b2/i5/S membership preserved", "pass": true }, { "actual": true, "expected": true, "name": "a2/b2/i5/R membership preserved", "pass": true }, { "actual": true, "expected": true, "name": "a2/b2/i5/joint membership preserved", "pass": true }, { "actual": true, "expected": true, "name": "a2/b2/i5/at most one typed S and R record", "pass": true }, { "actual": "950", "expected": "950", "name": "a2/b2/i5/sourceNoah950", "pass": true }, { "actual": "108", "expected": "108", "name": "a2/b2/i5/death remainder formula", "pass": true }, { "actual": "490", "expected": "490", "name": "a2/b2/i5/actual MT birth residual", "pass": true }, { "actual": "460", "expected": "460", "name": "a2/b2/i5/actual context leg", "pass": true }, { "actual": [ "1058", "1058" ], "expected": [ "1058", "1058" ], "name": "a2/b2/i5/held two short spans", "pass": true }, { "actual": [ [ "8993", "10051" ], [ "7935", "8993" ] ], "expected": [ [ "8993", "10051" ], [ "7935", "8993" ] ], "name": "a2/b2/i5/held width matrix", "pass": true }, { "actual": true, "expected": true, "name": "a2/b2/i5/two17K control", "pass": true }, { "actual": true, "expected": true, "name": "a2/b2/i5/allK control", "pass": true }, { "actual": true, "expected": true, "name": "a2/b2/i5/108 equivalent to b2", "pass": true }, { "actual": true, "expected": true, "name": "a2/b2/i5/490 equivalent to primary rail", "pass": true }, { "actual": [ "-1/4", "-1/4", "-1/4", "-1/4" ], "expected": [ "-1/4", "-1/4", "-1/4", "-1/4" ], "name": "a2/b2/i5/held phase identity/-1/4", "pass": true }, { "actual": true, "expected": true, "name": "a2/b2/i5/held quarter phase/-1/4", "pass": true }, { "actual": [ "1/4", "1/4", "1/4", "1/4" ], "expected": [ "1/4", "1/4", "1/4", "1/4" ], "name": "a2/b2/i5/held phase identity/1/4", "pass": true }, { "actual": true, "expected": true, "name": "a2/b2/i5/held quarter phase/1/4", "pass": true }, { "actual": 1, "expected": 1, "name": "a2/b2/i6/one actual SP Noah", "pass": true }, { "actual": 1, "expected": 1, "name": "a2/b2/i6/one same-rail death", "pass": true }, { "actual": 1, "expected": 1, "name": "a2/b2/i6/one actual same-Gear MT Noah", "pass": true }, { "actual": false, "expected": false, "name": "a2/b2/i6/S membership preserved", "pass": true }, { "actual": false, "expected": false, "name": "a2/b2/i6/R membership preserved", "pass": true }, { "actual": false, "expected": false, "name": "a2/b2/i6/joint membership preserved", "pass": true }, { "actual": true, "expected": true, "name": "a2/b2/i6/at most one typed S and R record", "pass": true }, { "actual": "950", "expected": "950", "name": "a2/b2/i6/sourceNoah950", "pass": true }, { "actual": "108", "expected": "108", "name": "a2/b2/i6/death remainder formula", "pass": true }, { "actual": "491", "expected": "491", "name": "a2/b2/i6/actual MT birth residual", "pass": true }, { "actual": "459", "expected": "459", "name": "a2/b2/i6/actual context leg", "pass": true }, { "actual": [ "1058", "1058" ], "expected": [ "1058", "1058" ], "name": "a2/b2/i6/held two short spans", "pass": true }, { "actual": [ [ "8993", "10051" ], [ "7935", "8993" ] ], "expected": [ [ "8993", "10051" ], [ "7935", "8993" ] ], "name": "a2/b2/i6/held width matrix", "pass": true }, { "actual": true, "expected": true, "name": "a2/b2/i6/two17K control", "pass": true }, { "actual": true, "expected": true, "name": "a2/b2/i6/allK control", "pass": true }, { "actual": true, "expected": true, "name": "a2/b2/i6/108 equivalent to b2", "pass": true }, { "actual": false, "expected": false, "name": "a2/b2/i6/490 equivalent to primary rail", "pass": true }, { "actual": [ "-1/4", "-1/4", "-1/4", "-1/4" ], "expected": [ "-1/4", "-1/4", "-1/4", "-1/4" ], "name": "a2/b2/i6/held phase identity/-1/4", "pass": true }, { "actual": true, "expected": true, "name": "a2/b2/i6/held quarter phase/-1/4", "pass": true }, { "actual": [ "1/4", "1/4", "1/4", "1/4" ], "expected": [ "1/4", "1/4", "1/4", "1/4" ], "name": "a2/b2/i6/held phase identity/1/4", "pass": true }, { "actual": true, "expected": true, "name": "a2/b2/i6/held quarter phase/1/4", "pass": true }, { "actual": 1, "expected": 1, "name": "a2/b2/i7/one actual SP Noah", "pass": true }, { "actual": 1, "expected": 1, "name": "a2/b2/i7/one same-rail death", "pass": true }, { "actual": 1, "expected": 1, "name": "a2/b2/i7/one actual same-Gear MT Noah", "pass": true }, { "actual": false, "expected": false, "name": "a2/b2/i7/S membership preserved", "pass": true }, { "actual": false, "expected": false, "name": "a2/b2/i7/R membership preserved", "pass": true }, { "actual": false, "expected": false, "name": "a2/b2/i7/joint membership preserved", "pass": true }, { "actual": true, "expected": true, "name": "a2/b2/i7/at most one typed S and R record", "pass": true }, { "actual": "950", "expected": "950", "name": "a2/b2/i7/sourceNoah950", "pass": true }, { "actual": "108", "expected": "108", "name": "a2/b2/i7/death remainder formula", "pass": true }, { "actual": "490", "expected": "490", "name": "a2/b2/i7/actual MT birth residual", "pass": true }, { "actual": "460", "expected": "460", "name": "a2/b2/i7/actual context leg", "pass": true }, { "actual": [ "1058", "1058" ], "expected": [ "1058", "1058" ], "name": "a2/b2/i7/held two short spans", "pass": true }, { "actual": [ [ "8993", "10051" ], [ "7935", "8993" ] ], "expected": [ [ "8993", "10051" ], [ "7935", "8993" ] ], "name": "a2/b2/i7/held width matrix", "pass": true }, { "actual": true, "expected": true, "name": "a2/b2/i7/two17K control", "pass": true }, { "actual": true, "expected": true, "name": "a2/b2/i7/allK control", "pass": true }, { "actual": true, "expected": true, "name": "a2/b2/i7/108 equivalent to b2", "pass": true }, { "actual": true, "expected": true, "name": "a2/b2/i7/490 equivalent to primary rail", "pass": true }, { "actual": [ "-1/4", "-1/4", "-1/4", "-1/4" ], "expected": [ "-1/4", "-1/4", "-1/4", "-1/4" ], "name": "a2/b2/i7/held phase identity/-1/4", "pass": true }, { "actual": true, "expected": true, "name": "a2/b2/i7/held quarter phase/-1/4", "pass": true }, { "actual": [ "1/4", "1/4", "1/4", "1/4" ], "expected": [ "1/4", "1/4", "1/4", "1/4" ], "name": "a2/b2/i7/held phase identity/1/4", "pass": true }, { "actual": true, "expected": true, "name": "a2/b2/i7/held quarter phase/1/4", "pass": true }, { "actual": { "Noah490": 12, "allK": 5, "both_new_criteria": 6, "both_plus_two17K": 3, "death950_plus108": 10, "two17K": 10 }, "expected": { "Noah490": 12, "allK": 5, "both_new_criteria": 6, "both_plus_two17K": 3, "death950_plus108": 10, "two17K": 10 }, "name": "formal counts", "pass": true }, { "actual": { "Noah490": 9, "allK": 3, "both_new_criteria": 4, "both_plus_two17K": 2, "death950_plus108": 6, "two17K": 8 }, "expected": { "Noah490": 9, "allK": 3, "both_new_criteria": 4, "both_plus_two17K": 2, "death950_plus108": 6, "two17K": 8 }, "name": "joint-admitted counts", "pass": true }, { "actual": 14, "expected": 14, "name": "fourteen joint-admitted rows", "pass": true }, { "actual": 40, "expected": 40, "name": "forty held phase components", "pass": true }, { "actual": 28, "expected": 28, "name": "twentyeight admitted components", "pass": true }, { "actual": true, "expected": true, "name": "all40 preserve annual criteria", "pass": true }, { "actual": [ [ 0, 2, 3 ], [ 0, 2, 5 ], [ 2, 2, 3 ], [ 2, 2, 5 ] ], "expected": [ [ 0, 2, 3 ], [ 0, 2, 5 ], [ 2, 2, 3 ], [ 2, 2, 5 ] ], "name": "both criteria admitted survivors", "pass": true }, { "actual": [ [ 0, 2, 3 ], [ 0, 2, 5 ] ], "expected": [ [ 0, 2, 3 ], [ 0, 2, 5 ] ], "name": "source-valid counterexamples to paired22 selection", "pass": true }, { "actual": [ [ 2, 2, 3 ], [ 2, 2, 5 ] ], "expected": [ [ 2, 2, 3 ], [ 2, 2, 5 ] ], "name": "adding existing two17K yields only22 primaries", "pass": true }, { "actual": [ [ 2, 2, 4 ] ], "expected": [ [ 2, 2, 4 ] ], "name": "retained allK companion failing490", "pass": true } ], "claim_status": "Finite conditional selection and counterexamples, not an independent source-prescribed selector.", "counts": { "formal": { "Noah490": 12, "allK": 5, "both_new_criteria": 6, "both_plus_two17K": 3, "death950_plus108": 10, "two17K": 10 }, "formal_rows": 20, "joint_admitted": { "Noah490": 9, "allK": 3, "both_new_criteria": 4, "both_plus_two17K": 2, "death950_plus108": 6, "two17K": 8 }, "joint_admitted_phase_rows": 28, "joint_admitted_rows": 14, "phase_rows": 40 }, "dependency": "950+108 is exactly the right2K criterion b=2. Noah490 restricts primary rail. 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